Conformality and Q-harmonicity in sub-Riemannian manifolds

Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro

doi:10.1016/j.matpur.2017.12.006

dc.contributor.author	Capogna, Luca
dc.contributor.author	Citti, Giovanna
dc.contributor.author	Le Donne, Enrico
dc.contributor.author	Ottazzi, Alessandro
dc.date.accessioned	2019-01-17T12:31:04Z
dc.date.available	2021-03-01T22:35:11Z
dc.date.issued	2019
dc.identifier.citation	Capogna, L., Citti, G., Le Donne, E., & Ottazzi, A. (2019). Conformality and Q-harmonicity in sub-Riemannian manifolds. <i>Journal de Mathematiques Pures et Appliquees</i>, <i>122</i>, 67-124. <a href="https://doi.org/10.1016/j.matpur.2017.12.006" target="_blank">https://doi.org/10.1016/j.matpur.2017.12.006</a>
dc.identifier.other	CONVID_27759730
dc.identifier.other	TUTKAID_76047
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/62534
dc.description.abstract	We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth in all contact sub-Riemannian manifolds. Together with the recent results in [15], our work yields a new proof of the smoothness of boundary extensions of biholomorphims between strictly pseudoconvex smooth domains [29].	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier Masson
dc.relation.ispartofseries	Journal de Mathematiques Pures et Appliquees
dc.rights	CC BY-NC-ND 4.0
dc.subject.other	conformal transformation
dc.subject.other	quasi-conformal maps
dc.subject.other	subelliptic PDE
dc.subject.other	harmonic coordinates
dc.subject.other	Liouville theorem
dc.subject.other	popp measure
dc.subject.other	morphism property
dc.subject.other	regularity for p-harmonic functions
dc.subject.other	sub-Riemannian geometry
dc.title	Conformality and Q-harmonicity in sub-Riemannian manifolds
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201901171227
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2019-01-17T10:15:05Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	67-124
dc.relation.issn	0021-7824
dc.relation.numberinseries	0
dc.relation.volume	122
dc.type.version	acceptedVersion
dc.rights.copyright	© 2017 Elsevier Masson SAS
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	607643
dc.relation.grantnumber	607643
dc.relation.grantnumber	288501
dc.relation.projectid	info:eu-repo/grantAgreement/EC/FP7/607643/EU//
dc.subject.yso	osittaisdifferentiaaliyhtälöt
dc.subject.yso	monistot
dc.subject.yso	differentiaaligeometria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p12392
jyx.subject.uri	http://www.yso.fi/onto/yso/p28181
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
dc.rights.url	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi	10.1016/j.matpur.2017.12.006
dc.relation.funder	Euroopan komissio	fi
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	European Commission	en
dc.relation.funder	Academy of Finland	en
jyx.fundingprogram	EU:n 7. puiteohjelma (FP7)	fi
jyx.fundingprogram	Akatemiatutkija, SA	fi
jyx.fundingprogram	FP7 (EU's 7th Framework Programme)	en
jyx.fundingprogram	Academy Research Fellow, AoF	en
jyx.fundinginformation	Partially funded by NSF awards DMS 1449143 and DMS 1503683.2. Partially funded by the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7/2007–2013/ under REA grant agreement No. 607643 and by the European Unions Horizon 2020 research programme, Marie Skłodowska-Curie grant agreement No. 777822. 3. Supported by the Academy of Finland, project No. 288501.4. Partially supported by the Australian Research Council, project No. DP140100531.
dc.type.okm	A1